2019•Fundamenta MathematicaeRequires access

Powers of countable Fréchet spaces

Yinhe Peng, Stevo B. Todorčević

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Abstract

We examine problems of Galvin and Nogura about preservation of the Fréchet property when taking finite or countably infinite powers of countable topological spaces and groups. It is well known that adding the requirement that the topologies of the given c

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We examine problems of Galvin and Nogura about preservation of the Fréchet property when taking finite or countably infinite powers of countable topological spaces and groups. It is well known that adding the requirement that the topologies of the given c

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Available abstract

We examine problems of Galvin and Nogura about preservation of the Fréchet property when taking finite or countably infinite powers of countable topological spaces and groups. It is well known that adding the requirement that the topologies of the given c

Key concepts: Countable set, Mathematics, Property (philosophy), Network topology, Second-countable space, Topological space, Pure mathematics, Discrete mathematics

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